Understanding Electric Dipole Transitions: Problem #2

[jajay504]

Homework Statement

Attached PDF. Problem # 2.

Homework Equations

Used parity selection rule, Assumed Russell-Saunders Coupling

The Attempt at a Solution

I only understand the electric dipole allowed transitions from reading. I don't actually understand how they work. For the electron undergoing the transition, dl= +/-1. The d represents delta. For the atom as a whole, the following selection rules apply:
dS=0, dL=0, +/- 1
dJ=0, +/-1 except 0<->0
dMJ= 0, +/-1 except 0<-> for dJ=0
dM_L=0, +/- 1
dM_S=0, +/-1
Laporte selection rule on parity: u <-> g g<-x->g u<-x->u

 

[BigJDubs]

For the transition in question, 4f2(^3F_2)->4f3(^3H_4), the following selection rules are applicable:dS=0, dL=+1, dJ=-1, dMJ=0, dML=+1, dMS=0. The Laporte selection rule for parity is not applicable as the initial and final state have the same parity.